Alan Lew

activity

20242026

collaborators

Showing 2025Show all

2 papers · 1 filter

math.CO2025

An eigenvalue interlacing approach to Garland's method

Alan Lew

Let $X$ be a pure $d$ -dimensional simplicial complex. For $0 \leq k \leq d$ , let $X (k)$ be the set of $k$ -dimensional faces of $X$ , let $L ~_{k} (X)$ be the $k$ -dimensional weighted…

math.CO2025

Sums of Laplacian eigenvalues and sums of degrees

Alan Lew

Let $X$ be a simplicial complex. For $1 \leq i \leq dim (X)$ , let $X (i)$ be the set of $i$ -dimensional faces of $X$ , and let $f_{i} (X) = ∣ X (i) ∣$ . For $0 \leq i \leq dim (X) - 1$ , let $L_{i}^{+} (X)$ b…